The circuit in the following figure utilizes an ideal op amp. (a) Find $I_1$, $I_2$, $I_3$, $I_L$, and $V_x$. (b) If $V_o$ is not to be lower than $-13$ V, find the maximum allowed value for $R_L$. (c) If $R_L$ is varied in the range $100 \Omega$ to $1 \text{ k}\Omega$, what is the corresponding change in $I_L$ and in $V_o$?